A thin-walled spherical pressure vessel having an inner

Chapter 10, Problem 10-55

(choose chapter or problem)

A thin-walled spherical pressure vessel having an inner radius r and thickness t is subjected to an internal pressure p. Show that the increase in volume within the vessel is \(\Delta V=\left(2 p \pi r^{4} / E t\right)(1-\nu)\). Use a small-strain analysis.

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